5(n+3)=3n+17

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Solution for 5(n+3)=3n+17 equation:


Simplifying
5(n + 3) = 3n + 17

Reorder the terms:
5(3 + n) = 3n + 17
(3 * 5 + n * 5) = 3n + 17
(15 + 5n) = 3n + 17

Reorder the terms:
15 + 5n = 17 + 3n

Solving
15 + 5n = 17 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
15 + 5n + -3n = 17 + 3n + -3n

Combine like terms: 5n + -3n = 2n
15 + 2n = 17 + 3n + -3n

Combine like terms: 3n + -3n = 0
15 + 2n = 17 + 0
15 + 2n = 17

Add '-15' to each side of the equation.
15 + -15 + 2n = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = 17 + -15
2n = 17 + -15

Combine like terms: 17 + -15 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1

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